FREE Rise Placement Test Solving Equations and Inequalities Questions and Answers

Question 1

A cell phone plan costs $45 per month, which includes 5 gigabytes of data.
Each additional gigabyte of data costs $10.
If a customer's bill was $85 for one month, which equation could be used to find the number of additional gigabytes, g, they used?

Accepted Answer

45 + 10g = 85

Answer

45g + 10 = 85

Answer

55g = 85

Answer

45 + 5g = 85

Question 2

Solve the following inequality: 14 - 3x > 2

Accepted Answer

x < 4

Answer

x > 4

Answer

x < -4

Answer

x > -4

Question 3

Which of the following values for 'y' is a solution to the equation 5y - 7 = 3y + 5?

Accepted Answer

y = 6

Answer

y = 1

Answer

y = 2

Answer

y = -1

Question 4

A student needs to have an average score of at least 80 on four tests. Their scores on the first three tests are 75, 82, and 78. What is the minimum score the student must get on the fourth test to achieve an average of at least 80?

Accepted Answer

85

Answer

80

Answer

75

Answer

82

Question 5

Which of the following equations is equivalent to 3(x + 5) = 21?

Accepted Answer

x + 5 = 7

Answer

3x = 16

Answer

x + 5 = 63

Answer

3x + 5 = 21

Question 6

What is the solution set for the inequality |2x - 3| ≤ 7?

Accepted Answer

-2 ≤ x ≤ 5

Answer

x ≤ 5

Answer

x ≥ -2 or x ≤ 5

Answer

-5 ≤ x ≤ 2

A cell phone plan costs $45 per month, which includes 5 gigabytes of data.Each additional gigabyte of data costs $10.If a customer's bill was $85 for one month, which equation could be used to find the number of additional gigabytes, g, they used?

A cell phone plan costs $45 per month, which includes 5 gigabytes of data.
Each additional gigabyte of data costs $10.
If a customer's bill was $85 for one month, which equation could be used to find the number of additional gigabytes, g, they used?